A city currently has 60 family-owned restaurants. In the future, it is estimated that the number of those restaurants will decline at a rat of 18% per year. Based on that estimate, what is the fewest number of years it will take for there to be less than 20 family-owned restaurants in the city? A.1 B. 3 C. 4 D. 6

The correct answer is D. 6

Explanation:

To know precisely how the number of restaurants in the city decreases over time, it is necessary to determine the 18% of the total of restaurants each year and to subtract this number. The process year per year is shown below:

First-year- 60 restaurants- Find the percentage by writing the known value and using cross multiplication

%

%

  Number of restaurants that were closed

New total

Second-year - 49.2 restaurants- Repeat te process

Shortened version of the equation. Total of restaurants, multiplied by percentage and divided into 100 (total percentage)

New total

Third-year- 40.4 restaurants

 New total

Fourth-year- 33.2 restaurants

New total

Fifth-year- 26.9 restaurants

New total

Sixth-year- 22.1 restaurants

According to this at this rate, it will take at least 6 years for the number of restaurants to be below 20.

16.9 times 2.85

step-by-step explanation: